7(4-3x)+3=-6(x-4)-8

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Solution for 7(4-3x)+3=-6(x-4)-8 equation: 


Simplifying
7(4 + -3x) + 3 = -6(x + -4) + -8
(4 * 7 + -3x * 7) + 3 = -6(x + -4) + -8
(28 + -21x) + 3 = -6(x + -4) + -8

Reorder the terms:
28 + 3 + -21x = -6(x + -4) + -8

Combine like terms: 28 + 3 = 31
31 + -21x = -6(x + -4) + -8

Reorder the terms:
31 + -21x = -6(-4 + x) + -8
31 + -21x = (-4 * -6 + x * -6) + -8
31 + -21x = (24 + -6x) + -8

Reorder the terms:
31 + -21x = 24 + -8 + -6x

Combine like terms: 24 + -8 = 16
31 + -21x = 16 + -6x

Solving
31 + -21x = 16 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
31 + -21x + 6x = 16 + -6x + 6x

Combine like terms: -21x + 6x = -15x
31 + -15x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
31 + -15x = 16 + 0
31 + -15x = 16

Add '-31' to each side of the equation.
31 + -31 + -15x = 16 + -31

Combine like terms: 31 + -31 = 0
0 + -15x = 16 + -31
-15x = 16 + -31

Combine like terms: 16 + -31 = -15
-15x = -15

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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